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225171006004 = 2278041821643
BaseRepresentation
bin1101000110110100111…
…1001110001000110100
3210112012112222021110001
43101231033032020310
512142122234143004
6251235300041044
722160642654110
oct3215517161064
9715175867401
10225171006004
11875491875aa
1237781393184
13183060ca879
14ac81060740
155ccd1751a4
hex346d3ce234

225171006004 has 12 divisors (see below), whose sum is σ = 450342012064. Its totient is φ = 96501859704.

The previous prime is 225171005977. The next prime is 225171006029. The reversal of 225171006004 is 400600171522.

225171006004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

225171006004 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 8041821643 = 225171006004 / (2 + 2 + 5 + 1 + 7 + 1 + 0 + 0 + 6 + 0 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4020910794 + ... + 4020910849.

Almost surely, 2225171006004 is an apocalyptic number.

It is an amenable number.

225171006004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225171006004 is a wasteful number, since it uses less digits than its factorization.

225171006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041821654 (or 8041821652 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 225171006004 its reverse (400600171522), we get a palindrome (625771177526).

The spelling of 225171006004 in words is "two hundred twenty-five billion, one hundred seventy-one million, six thousand, four".

Divisors: 1 2 4 7 14 28 8041821643 16083643286 32167286572 56292751501 112585503002 225171006004